Actions of Discrete Amenable Groups on von Neumann Algebras

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Publisher : Springer
ISBN 13 : 3540395792
Total Pages : 120 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Actions of Discrete Amenable Groups on von Neumann Algebras by : Adrian Ocneanu

Download or read book Actions of Discrete Amenable Groups on von Neumann Algebras written by Adrian Ocneanu and published by Springer. This book was released on 2006-12-08 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1001 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by World Scientific. This book was released on with total page 1001 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras

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Publisher : World Scientific
ISBN 13 : 981455071X
Total Pages : 306 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras by : Huzihiro Araki

Download or read book Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras written by Huzihiro Araki and published by World Scientific. This book was released on 1994-09-30 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of subfactors of von Neumann algebras made an amazing development in the past ten years or so. In order to appraise the present state of the art in subfactor theory and to look for promising directions of future research, the workshop was organised. This workshop gives an overview of the foremost developments in subfactor theory and related topics.

Operator Structures and Dynamical Systems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847473
Total Pages : 329 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Operator Structures and Dynamical Systems by : Marcel de Jeu

Download or read book Operator Structures and Dynamical Systems written by Marcel de Jeu and published by American Mathematical Soc.. This book was released on 2009-11-30 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of a Leiden Workshop on Dynamical Systems and their accompanying Operator Structures which took place at the Lorentz Center in Leiden, The Netherlands, on July 21-25, 2008. These papers offer a panorama of selfadjoint and non-selfadjoint operator algebras associated with both noncommutative and commutative (topological) dynamical systems and related subjects. Papers on general theory, as well as more specialized ones on symbolic dynamics and complex dynamical systems, are included.

Rohlin Flows on von Neumann Algebras

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Publisher : American Mathematical Soc.
ISBN 13 : 1470420163
Total Pages : 128 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Rohlin Flows on von Neumann Algebras by : Toshihiko Masuda

Download or read book Rohlin Flows on von Neumann Algebras written by Toshihiko Masuda and published by American Mathematical Soc.. This book was released on 2016-10-05 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors will classify Rohlin flows on von Neumann algebras up to strong cocycle conjugacy. This result provides alternative approaches to some preceding results such as Kawahigashi's classification of flows on the injective type II1 factor, the classification of injective type III factors due to Connes, Krieger and Haagerup and the non-fullness of type III0 factors. Several concrete examples are also studied.

Groups with the Haagerup Property

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Publisher : Springer Science & Business Media
ISBN 13 : 9783764365981
Total Pages : 144 pages
Book Rating : 4.3/5 (659 download)

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Book Synopsis Groups with the Haagerup Property by : Pierre-Alain Cherix

Download or read book Groups with the Haagerup Property written by Pierre-Alain Cherix and published by Springer Science & Business Media. This book was released on 2001-08-01 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: A locally compact group has the Haagerup property, or is a-T-menable in the sense of Gromov, if it admits a proper isometric action on some affine Hilbert space. As Gromov's pun is trying to indicate, this definition is designed as a strong negation to Kazhdan's property (T), characterized by the fact that every isometric action on some affine Hilbert space has a fixed point. This book is to covers various aspects of the Haagerup property. It gives several new examples.

Mappings of Operator Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204534
Total Pages : 311 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Mappings of Operator Algebras by : H. Araki

Download or read book Mappings of Operator Algebras written by H. Araki and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of articles contributed by participants at the fourth Ja pan-U.S. Joint Seminar on Operator Algebras. The seminar took place at the University of Pennsylvania from May 23 through May 27, 1988 under the auspices of the Mathematics Department. It was sponsored and supported by the Japan Society for the Promotion of Science and the National Science Foundation (USA). This sponsorship and support is acknowledged with gratitude. The seminar was devoted to discussions and lectures on results and prob lems concerning mappings of operator algebras (C*-and von Neumann alge bras). Among the articles contained in these proceedings, there are papers dealing with actions of groups on C* algebras, completely bounded mappings, index and subfactor theory, and derivations of operator algebras. The seminar was held in honor of the sixtieth birthday of Sh6ichir6 Sakai, one of the great leaders of Functional Analysis for many decades. This vol ume is dedicated to Professor Sakai, on the occasion of that birthday, with the respect and admiration of all the contributors and the participants at the seminar. H. Araki Kyoto, Japan R. Kadison Philadelphia, Pennsylvania, USA Contents Preface.... ..... ....... ........... ...... ......... ................ ...... ............... ... vii On Convex Combinations of Unitary Operators in C*-Algebras UFFE HAAGERUP ......................................................................... .

Von Neumann Algebras

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Publisher : Elsevier
ISBN 13 : 0080960154
Total Pages : 479 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Von Neumann Algebras by : J. Dixmier

Download or read book Von Neumann Algebras written by J. Dixmier and published by Elsevier. This book was released on 2011-08-18 with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study, under the name of von Neumann algebras, those algebras generally known as “rings of operators“ or “W*-algebras.“ The new terminology, suggested by J. Dieudonng, is fully justified from the historical point of view. Certain of the results are valid for more general algebras. We have, however systematically avoided this kind of generalization, except when it would facilitate the study of von Neumann algebras themselves. Parts I and I1 comprise those results which at present appear to’be the most useful for applications, although we do not embark on the study of those applications. Part 111, which is more technical, is primarily intended for specialists; it is virtually independent of Part 11.

Current Topics In Operator Algebras - Proceedings Of The Satellite Conference Of Icm - 90

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Publisher : World Scientific
ISBN 13 : 981455622X
Total Pages : 450 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Current Topics In Operator Algebras - Proceedings Of The Satellite Conference Of Icm - 90 by : Y Nakagami

Download or read book Current Topics In Operator Algebras - Proceedings Of The Satellite Conference Of Icm - 90 written by Y Nakagami and published by World Scientific. This book was released on 1991-04-29 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: The topics covered in this proceedings include the C* — dynamical systems, the index theory of subfactors, the noncommutative differential geometry and the quantum groups. This volume presents an overview of the present status of the theory of operator algebras, as well as an outlook for its future development.

Group Actions in Ergodic Theory, Geometry, and Topology

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Publisher : University of Chicago Press
ISBN 13 : 022656827X
Total Pages : 724 pages
Book Rating : 4.2/5 (265 download)

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Book Synopsis Group Actions in Ergodic Theory, Geometry, and Topology by : Robert J. Zimmer

Download or read book Group Actions in Ergodic Theory, Geometry, and Topology written by Robert J. Zimmer and published by University of Chicago Press. This book was released on 2019-12-23 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert J. Zimmer is best known in mathematics for the highly influential conjectures and program that bear his name. Group Actions in Ergodic Theory, Geometry, and Topology: Selected Papers brings together some of the most significant writings by Zimmer, which lay out his program and contextualize his work over the course of his career. Zimmer’s body of work is remarkable in that it involves methods from a variety of mathematical disciplines, such as Lie theory, differential geometry, ergodic theory and dynamical systems, arithmetic groups, and topology, and at the same time offers a unifying perspective. After arriving at the University of Chicago in 1977, Zimmer extended his earlier research on ergodic group actions to prove his cocycle superrigidity theorem which proved to be a pivotal point in articulating and developing his program. Zimmer’s ideas opened the door to many others, and they continue to be actively employed in many domains related to group actions in ergodic theory, geometry, and topology. In addition to the selected papers themselves, this volume opens with a foreword by David Fisher, Alexander Lubotzky, and Gregory Margulis, as well as a substantial introductory essay by Zimmer recounting the course of his career in mathematics. The volume closes with an afterword by Fisher on the most recent developments around the Zimmer program.

Operator Algebras and Applications

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Publisher : Cambridge University Press
ISBN 13 : 0521368448
Total Pages : 253 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Operator Algebras and Applications by : David E. Evans

Download or read book Operator Algebras and Applications written by David E. Evans and published by Cambridge University Press. This book was released on 1989 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

C*-Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 364257288X
Total Pages : 281 pages
Book Rating : 4.6/5 (425 download)

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Book Synopsis C*-Algebras by : Joachim Cuntz

Download or read book C*-Algebras written by Joachim Cuntz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of articles provided by the participants of the SFB-workshop on C*-algebras, March 8 - March 12, 1999 which was held at the Sonderforschungsbereich "Geometrische Strukturen in der reinen Mathematik" of the University of Münster, Germany. The aim of the workshop was to bring together leading experts in the theory of C* -algebras with promising young researchers in the field, and to provide a stimulating atmosphere for discussions and interactions between the participants. There were 19 one-hour lectures on various topics like - classification of nuclear C* -algebras, - general K-theory for C* -algebras, - exact C* -algebras and exact groups, - C*-algebras associated to (infinite) matrices and C*-correspondences, - noncommutative prob ability theory, - deformation quantization, - group C* -algebras and the Baum-Connes conjecture, giving a broad overview of the latest developments in the field, and serving as a basis for discussions. We, the organizers of the workshop, were greatly pleased with the excellence of the lectures and so were led to the idea of publishing the proceedings of the conference. There are basically two kinds of contributions. On one side there are several articles giving surveys and overviews on new developments and im portant results of the theory, on the other side one finds original articles with interesting new results.

Modular Theory in Operator Algebras

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Publisher : Cambridge University Press
ISBN 13 : 1108489605
Total Pages : 461 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Modular Theory in Operator Algebras by : Serban Stratila

Download or read book Modular Theory in Operator Algebras written by Serban Stratila and published by Cambridge University Press. This book was released on 2020-12-03 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first edition of this book appeared in 1981 as a direct continuation of Lectures of von Neumann Algebras (by Ş.V. Strătilă and L. Zsid ) and, until 2003, was the only comprehensive monograph on the subject. Addressing the students of mathematics and physics and researchers interested in operator algebras, noncommutative geometry and free probability, this revised edition covers the fundamentals and latest developments in the field of operator algebras. It discusses the group-measure space construction, Krieger factors, infinite tensor products of factors of type I (ITPFI factors) and construction of the type III_1 hyperfinite factor. It also studies the techniques necessary for continuous and discrete decomposition, duality theory for noncommutative groups, discrete decomposition of Connes, and Ocneanu's result on the actions of amenable groups. It contains a detailed consideration of groups of automorphisms and their spectral theory, and the theory of crossed products.

Classification of Actions of Discrete Kac Algebras on Injective Factors

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Publisher : American Mathematical Soc.
ISBN 13 : 1470420554
Total Pages : 134 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Classification of Actions of Discrete Kac Algebras on Injective Factors by : Toshihiko Masuda

Download or read book Classification of Actions of Discrete Kac Algebras on Injective Factors written by Toshihiko Masuda and published by American Mathematical Soc.. This book was released on 2017-01-18 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors study two kinds of actions of a discrete amenable Kac algebra. The first one is an action whose modular part is normal. They construct a new invariant which generalizes a characteristic invariant for a discrete group action, and we will present a complete classification. The second is a centrally free action. By constructing a Rohlin tower in an asymptotic centralizer, the authors show that the Connes–Takesaki module is a complete invariant.

Operator Algebras and Applications

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Publisher : Springer
ISBN 13 : 3319392867
Total Pages : 350 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Operator Algebras and Applications by : Toke M. Carlsen

Download or read book Operator Algebras and Applications written by Toke M. Carlsen and published by Springer. This book was released on 2016-07-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like the first Abel Symposium, held in 2004, the Abel Symposium 2015 focused on operator algebras. It is interesting to see the remarkable advances that have been made in operator algebras over these years, which strikingly illustrate the vitality of the field. A total of 26 talks were given at the symposium on a variety of themes, all highlighting the richness of the subject. The field of operator algebras was created in the 1930s and was motivated by problems of quantum mechanics. It has subsequently developed well beyond its initial intended realm of applications and expanded into such diverse areas of mathematics as representation theory, dynamical systems, differential geometry, number theory and quantum algebra. One branch, known as “noncommutative geometry”, has become a powerful tool for studying phenomena that are beyond the reach of classical analysis. This volume includes research papers that present new results, surveys that discuss the development of a specific line of research, and articles that offer a combination of survey and research. These contributions provide a multifaceted portrait of beautiful mathematics that both newcomers to the field of operator algebras and seasoned researchers alike will appreciate.

Canadian Journal of Mathematics

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Publisher :
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4./5 ( download)

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Book Synopsis Canadian Journal of Mathematics by :

Download or read book Canadian Journal of Mathematics written by and published by . This book was released on 1991-02 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Hokkaido Mathematical Journal

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Publisher :
ISBN 13 :
Total Pages : 712 pages
Book Rating : 4.:/5 (7 download)

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Book Synopsis Hokkaido Mathematical Journal by :

Download or read book Hokkaido Mathematical Journal written by and published by . This book was released on 2003 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: